My orthodontist wants to take out some of my teeth to fix my overbite. Is this a good idea?

I’m 32, my orthodontist wants to take out some of my healthy teeth to fix my overbite. He said I’ll have to remove about 6 of them, my mouth is not crowded, but my teeth are big, according to him, I’ll also be getting a braces. I’m afraid this might have a consequence in future, I’ve never worn a braces before but he said the braces will close the gap. Is this a good idea? What happens after I remove the braces, can the gaps open again?